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Finding the Fourth Proportional to 2,575.46, 3,863.16 and 1,784.09

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Solution

The fourth proportional to 2,575.46, 3,863.16 and 1,784.09 is: 2,676.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,575.46 : 3,863.16 = 1,784.09 : x
  2. Step 2: Convert to fraction form
    2,575.46/3,863.16 = 1,784.09/x
  3. Step 3: Cross multiply
    2,575.46x = 3,863.16 × 1,784.09
  4. Step 4: Simplify right side
    2,575.46x = 6,892,234.78
  5. Step 5: Solve for x
    x = 6,892,234.78/2,575.46
  6. Step 6: Final answer
    x = 2,676.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.